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11 You randomly choose a number from 1 to 10. Find P(even or less than 5).

User Vikzilla
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1 Answer

24 votes
24 votes

You randomly choose a number from 1 to 10

We are asked to find the probability P(even or less than 5)

There are a total of 10 possible numbers


1,2,3,4,5,6,7,8,9,10

How many of them are even?


even=2,4,6,8,10

There are 5 even numbers.

So, the probability of getting an even number is


P(even)=(5)/(10)=(1)/(2)=0.5

How many of them are less than 5?


less\: than\: 5=1,2,3,4

There are 4 numbers less than 5.

So, the probability of getting a number less than 5 is


P(less\: than\: 5)=(4)/(10)=(2)/(5)=0.4

Finally, we need to add these probabilities to find the combined probability (or means to add)


\begin{gathered} P(even\: or\: less\: than\: 5)=P(even)+P(less\: than\: 5) \\ P(even\: or\: less\: than\: 5)=0.5+0.4 \\ P(even\: or\: less\: than\: 5)=0.90 \end{gathered}

Therefore, the probability P(even or less than 5) is 0.90

User Ramzeek
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